The zero-two law for positive contractions is valid in all Banach lattices

DOI10.1007/BF02787265zbMath0657.47041WikidataQ114852587 ScholiaQ114852587MaRDI QIDQ1110795

Helmut H. Schaefer

Publication date: 1987

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

zero-two lawpositive contractionregular normBanach lattices and positive operators

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60)

Related Items (5)

The zero-two law in Banach lattice algebras ⋮ An extension of the zero-two law on \(L_p\)-spaces ⋮ A remark on the uniform zero-two law for positive contractions ⋮ An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice ⋮ Tail field representations and the zero-two law

Cites Work

• Unnamed Item
• On power bounded operators
• The modulus of a regular linear operator and the zero-two law in \(L^ p\)-spaces \((1<p<+\infty,p\neq 2)\)
• More on the "Zero-Two" Law
• An Operator Theorem on $L_1$ Convergence to Zero with Applications to Markov Kernels

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